Trigonometry #156

Geometry Level 4

Find the smallest positive number \(p\) for which the equation \[\cos(p\sin x)=\sin(p\cos x)\] has a solution for \(x\in[0,2\pi]\).

Enter the value of \(\frac{\pi^{2}}{p^{2}}\).

This problem is part of the set Trigonometry.

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